Exact and quasi-exact solutions of the boundary layer equation for a radial steady flow of an incompressible fluid with full slipping
AbstractAbstract
[en] The system of partial differential equation for the description of the laminar, steady, axisymmetric flow of an incompressible fluid on a flat horizontal bottom has been derived. The impermeability condition and full slipping condition on the bottom have been used. The reduction of the initial system to an ordinary differential equation for the steam function has been obtained. It has been shown that this equation is reduced under certain conditions to two Chazy equations. The exact solution expressed in terms of Airy functions has been obtained at one value of the parameter in the equation. Three types of the flow of the fluid depending on the values of two arbitrary constants in the solution have been discovered by analyzing this solution
Original Title
Tochnye i kvazitochnye resheniya zadachi osesimmetrichnogo statsionarnogo techeniya zhidkosti nad ploskim dnom pri polnom proskal'zyvanii
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Source
16 refs., 6 figs.
Record Type
Journal Article
Journal
Vestnik Natsional'nogo Issledovatel'skogo Yadernogo Universiteta MIFI; ISSN 2304-487X;
; v. 4(1); p. 12-18

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